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Finding the Third Proportional to 408,209.06 and 643,620.75

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Solution

The third proportional to 408,209.06 and 643,620.75 is: 1,014,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,209.06 : 643,620.75 = 643,620.75 : x
  2. Step 2: Convert to fraction form
    408,209.06/643,620.75 = 643,620.75/x
  3. Step 3: Cross multiply
    408,209.06x = 643,620.75 × 643,620.75
  4. Step 4: Simplify right side
    408,209.06x = 414,247,669,830.56
  5. Step 5: Solve for x
    x = 414,247,669,830.56/408,209.06
  6. Step 6: Final answer
    x = 1,014,792.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.